Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #16810647 | C2 | semidirect |
| 4. #16810383 | C2 | semidirect |
| 5. C4×C4⋊C4×C53 | C2 | semidirect |
| 8. C4×Dic106 | C4 | semidirect |
| 9. C4×Dic106 | C4 | semidirect |
| 10. C4×D212 | C4 | semidirect |
| 11. C4×D212 | C4 | semidirect |
| 81. D212 | C4⋊C4 | semidirect |
| 87. Dic106 | C4⋊C4 | semidirect |
| 101. C4×C53 | #104 | semidirect |
| 119. C4×C4⋊C4 | D53 | semidirect |
| 121. C53 | #1806 | semidirect |
| 220. C4 | #13133145 | semidirect |